Question

Find the volume of a pyramid with a square base, where the area of the base is 12. 4\text{ ft}^212. 4 ft 2 and the height of the pyramid is 5\text{ ft}5 ft.

Answer 1

Check the picture below.

$\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3$